Pith Number

pith:VFBRVDJF

pith:2026:VFBRVDJFN22PWUV44KAV364RKY

not attested not anchored not stored refs pending

Isoperimetric and total curvature inequalities in Cartan-Hadamard manifolds with nullity

Mohammad Ghomi

arxiv:2605.24638 v1 · 2026-05-23 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFBRVDJFN22PWUV44KAV364RKY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-26T01:03:50.516525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9431a8d256eb4fb52bce2815dfb915624ac203e8a038ac6a4144f0fa3e382b3

Aliases

arxiv: 2605.24638 · arxiv_version: 2605.24638v1 · doi: 10.48550/arxiv.2605.24638 · pith_short_12: VFBRVDJFN22P · pith_short_16: VFBRVDJFN22PWUV4 · pith_short_8: VFBRVDJF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VFBRVDJFN22PWUV44KAV364RKY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a9431a8d256eb4fb52bce2815dfb915624ac203e8a038ac6a4144f0fa3e382b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd620f2e6ebdf8eec99a6a7610e7f9ce8ecedaf542c079bf89f67fd51185e84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-23T15:59:21Z",
    "title_canon_sha256": "d632aa087712334f184bd9288d0089d47068a2d7b06588dde2917037fac6ae8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24638",
    "kind": "arxiv",
    "version": 1
  }
}